Integral Equation Methods for Stokes Flow and Isotropic Elasticity in the Plane
Integral Equation Methods for Stokes Flow and Isotropic Elasticity in the Plane
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平面内斯托克斯流和各向同性弹性的积分方程方法
DOI：
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发表时间：
1996
期刊：
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通讯作者：
A. Mayo
中科院分区：
文献类型：
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作者：
L. Greengard;M. Kropinski;A. Mayo
提出了一类求解双调和边值问题的积分方程法，并将其应用于二维Stokes流和各向同性弹性问题。域可以是多连通的，并且在范围上是有限的、无限的或半无限的。我们的解析公式是基于复变量的，并且我们的快速多极子迭代求解过程需要O(N)次运算，其中N是离散化边界的节点数。通过几个大规模的数值算例说明了该方法的有效性。
We present a class of integral equation methods for the solution of biharmonic boundary value problems, with applications to two-dimensional Stokes flow and isotropic elasticity. The domains may be multiply-connected and finite, infinite or semi-infinite in extent. Our analytic formulation is based on complex variables, and our fast multipole-based iterative solution procedure requiresO(N) operations, whereNis the number of nodes in the discretization of the boundary. The performance of the methods is illustrated with several large-scale numerical examples.